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2010002010 = 235671019901
BaseRepresentation
bin111011111001110…
…0011001001011010
312012002011200101220
41313303203021122
513104030031020
6531241152510
7100544510112
oct16763431132
95162150356
102010002010
11941659295
1248118b736
13260569b03
14150d40042
15bb6db240
hex77ce325a

2010002010 has 64 divisors (see below), whose sum is σ = 4944979584. Its totient is φ = 522720000.

The previous prime is 2010002009. The next prime is 2010002041. The reversal of 2010002010 is 102000102.

It is a happy number.

It is a super-3 number, since 3×20100020103 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 2010002010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198060 + ... + 207960.

It is an arithmetic number, because the mean of its divisors is an integer number (77265306).

Almost surely, 22010002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472489792).

2010002010 is an abundant number, since it is smaller than the sum of its proper divisors (2934977574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2010002010 is a wasteful number, since it uses less digits than its factorization.

2010002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10079.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2010002010 is about 44833.0459594260. The cubic root of 2010002010 is about 1262.0178488923.

Adding to 2010002010 its reverse (102000102), we get a palindrome (2112002112).

It can be divided in two parts, 201000 and 2010, that multiplied together give a square (404010000 = 201002).

The spelling of 2010002010 in words is "two billion, ten million, two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 101 134 201 202 303 335 402 505 606 670 1005 1010 1515 2010 3030 6767 9901 13534 19802 20301 29703 33835 40602 49505 59406 67670 99010 101505 148515 203010 297030 663367 1000001 1326734 1990101 2000002 3000003 3316835 3980202 5000005 6000006 6633670 9950505 10000010 15000015 19901010 30000030 67000067 134000134 201000201 335000335 402000402 670000670 1005001005 2010002010